Calculus 2 : Convergence and Divergence

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #176 : Series In Calculus

If  and , and it may be said that  converges, what may be said about ?

Possible Answers:

 Converges by the comparison test.

 Converges by the ratio test.

 Diverges by the comparison test.

 Converges by the test for convergence of geometric series.

 Diverges by the ratio test.

Correct answer:

 Converges by the comparison test.

Explanation:

Given two series, 

 and  

where 

 converges,

the Comparison Test states that the second series 

 must also converge, if and only if, it is smaller than the first.

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